An inequality between the James and James type constants in Banach spaces

Fenghui Wang, and Changsen Yang. "An inequality between the James and James type constants in Banach spaces." Studia Mathematica 201.2 (2010): 191-201. <http://eudml.org/doc/285837>.

@article{FenghuiWang2010,
abstract = {We consider the James and Schäffer type constants recently introduced by Takahashi. We prove an equality between James (resp. Schäffer) type constants and the modulus of convexity (resp. smoothness). By using these equalities, we obtain some estimates for the new constants in terms of the James constant. As a result, we improve an inequality between the Zbăganu and James constants.},
author = {Fenghui Wang, Changsen Yang},
journal = {Studia Mathematica},
keywords = {James constants; modulus of convexity; Schäffer constants},
language = {eng},
number = {2},
pages = {191-201},
title = {An inequality between the James and James type constants in Banach spaces},
url = {http://eudml.org/doc/285837},
volume = {201},
year = {2010},
}

TY - JOUR
AU - Fenghui Wang
AU - Changsen Yang
TI - An inequality between the James and James type constants in Banach spaces
JO - Studia Mathematica
PY - 2010
VL - 201
IS - 2
SP - 191
EP - 201
AB - We consider the James and Schäffer type constants recently introduced by Takahashi. We prove an equality between James (resp. Schäffer) type constants and the modulus of convexity (resp. smoothness). By using these equalities, we obtain some estimates for the new constants in terms of the James constant. As a result, we improve an inequality between the Zbăganu and James constants.
LA - eng
KW - James constants; modulus of convexity; Schäffer constants
UR - http://eudml.org/doc/285837
ER -